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106459014780 = 22325591438971
BaseRepresentation
bin110001100100101110…
…0111010011001111100
3101011210022102021211100
41203021130322121330
53221012001433110
6120523454053100
710456103460246
oct1431134723174
9334708367740
10106459014780
114117037a548
1218770aaa190
13a067a10491
14521cbd7096
152b812e1bc0
hex18c973a67c

106459014780 has 36 divisors (see below), whose sum is σ = 322925678712. Its totient is φ = 28389070560.

The previous prime is 106459014719. The next prime is 106459014833. The reversal of 106459014780 is 87410954601.

106459014780 is a `hidden beast` number, since 10 + 6 + 4 + 590 + 1 + 47 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1064590147802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295719306 + ... + 295719665.

It is an arithmetic number, because the mean of its divisors is an integer number (8970157742).

Almost surely, 2106459014780 is an apocalyptic number.

106459014780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106459014780 is an abundant number, since it is smaller than the sum of its proper divisors (216466663932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106459014780 is a wasteful number, since it uses less digits than its factorization.

106459014780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591438986 (or 591438981 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 106459014780 in words is "one hundred six billion, four hundred fifty-nine million, fourteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 591438971 1182877942 1774316913 2365755884 2957194855 3548633826 5322950739 5914389710 7097267652 8871584565 10645901478 11828779420 17743169130 21291802956 26614753695 35486338260 53229507390 106459014780